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Integral non-hyperbolike surgeries

2004/10/04 by Kazuhiro Ichihara, Ichihara, Kazuhiro
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Primary 57M50 #Secondary 57M25 #math.GT #msc:57M25 #msc:57M50

paper · pdf · doi:10.48550/arxiv.math/0410045

5 pages, a corollary added

arxiv created 2005/02/05 · arxiv updated 2009/12/01

Abstract

It is shown that a hyperbolic knot in the 3-sphere admits at most nine integral surgeries yielding 3-manifolds which are reducible or whose fundamental groups are not infinite word-hyperbolic.

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